Greatest Common Factor of 12/575, 55/966, 856/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/575, 55/966, 856/990

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 12/575,55/966,856/990

Given fractions are 12/575,55/966,856/990

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 12,55,856

Greatest Common Factor of Numerators i.e. GCF of 12,55,856 is 1 .

LCM of Denominators means LCM of 575,966,990 as per the given fractions.

LCM of 575,966,990 is 796950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,55,856

GCF of Fractions 12/575,55/966,856/990 is 1/796950

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 12,55,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,55,856 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 12,55,856 . The biggest common factor number is the GCF number.
So the greatest common factor 12,55,856 is 1.

Lets's calculate LCM of 575,966,990

2 575, 966, 990
3 575, 483, 495
5 575, 161, 165
23 115, 161, 33
5, 7, 33

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 5 x 7 x 33 = 796950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/796950

Therefore, the GCF of Fractions 12/575,55/966,856/990 is 1/796950

Least Common Multiple of 575,966,990 with GCF Formula

Least Common Multiple of 575,966,990 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 575,966,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,966,990) = 1

common factors(in case of two or more numbers have common factors) = 690

GCF(575,966,990) x common factors =1 x 690 = 690

LCM(575,966,990) = ( 575 × 966 × 990 ) / 690

LCM(575,966,990) = 549895500 / 690

LCM(575,966,990) = 796950


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 12/575, 55/966, 856/990

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 12/575, 55/966, 856/990?

Answer: GCF of Numerators as per given numbers 12/575, 55/966, 856/990 is

GCF of Numerators i.e. for 12,55,856 is 1

LCM of denominators i.e. for 575,966,990 is 796950.

Thus, GCF of Fractions is 1/796950.Finally, GCF of Fractions for 12/575, 55/966, 856/990 is 1/796950.